90668480 has 112 divisors (see below), whose sum is σ = 261372096. Its totient is φ = 29245440.

The previous prime is 90668477. The next prime is 90668503. The reversal of 90668480 is 8486609.

It is a tau number, because it is divible by the number of its divisors (112).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 36890 + ... + 39270.

Almost surely, 2^90668480 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 90668480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130686048).

90668480 is an abundant number, since it is smaller than the sum of its proper divisors (170703616).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

90668480 is a wasteful number, since it uses less digits than its factorization.

90668480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2422 (or 2412 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 41.

The square root of 90668480 is about 9521.9997899601. Note that the first 3 decimals coincide. The cubic root of 90668480 is about 449.2472683289.

The spelling of 90668480 in words is "ninety million, six hundred sixty-eight thousand, four hundred eighty".